Hausdorff dimension of set generated by exceptional oscillations of a class of \(N\)-parameter Gaussian processes

DOI10.1007/s10483-007-0212-zzbMath1231.60023OpenAlexW2066200418MaRDI QIDQ940218

Zong-Mao Cheng, Zheng Yan Lin

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-007-0212-z

zbMATH Keywords

modulus of continuityHausdorff dimension\(N\)-parameter Gaussian process

Mathematics Subject Classification ID

Gaussian processes (60G15) Strong limit theorems (60F15) Sample path properties (60G17)

Cites Work

• On the spectral density and asymptotic normality of weakly dependent random fields
• Some limit theorems for fractional Lévy Brownian fields
• Sample functions of the \(N\)-parameter Wiener process
• Limsup random fractals
• How Often on a Brownian Path Does the Law of Iterated Logarithm Fail?
• On the Hausdorff dimension of the set generated by exceptional oscillations of a two-parameter Wiener process
• Unnamed Item

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